QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#105429#6404. Shuttle TourckisekiAC ✓2625ms844372kbC++206.1kb2023-05-14 02:06:552023-05-14 02:06:57

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-05-14 02:06:57]
  • 评测
  • 测评结果:AC
  • 用时:2625ms
  • 内存:844372kb
  • [2023-05-14 02:06:55]
  • 提交

answer

// An AC a day keeps the doctor away.
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#ifdef local
#define safe std::cerr<<__PRETTY_FUNCTION__<<" line "<<__LINE__<<" safe\n"
#define debug(args...) qqbx(#args, args)
#define orange(args...) danb(#args, args)
using std::cerr;
template <typename ...T> void qqbx(const char *s, T ...args) {
    int cnt = sizeof...(T);
    ((cerr << "\e[1;32m(" << s << ") = ("), ..., (cerr << args << (--cnt ? ", " : ")\e[0m\n")));
}
template <typename T> void danb(const char *s, T L, T R) {
    cerr << "\e[1;32m[ " << s << " ] = [ ";
    for (int f = 0; L != R; ++L) cerr << (f++ ? ", " : "") << *L;
    cerr << " ]\e[0m\n";
}
#else
#define safe ((void)0)
#define debug(...) ((void)0)
#define orange(...) ((void)0)
#endif // local
#define all(v) begin(v),end(v)

using namespace std;

const int K = 105;
const int maxn = 200025;

const int64_t INF = 1e18;

const pair<int64_t,int64_t> PAIR_ID = { INF, -INF };

struct Segtree {
    int n;
    vector<array<pair<int64_t,int64_t>,K>> st;
    using Data = array<pair<int64_t,int64_t>, K>;
    Data combine(const Data &lhs, const Data &rhs) {
        Data res;
        for (int j = 0; j < K; j++) {
            res[j].first = min(lhs[j].first, rhs[j].first);
            res[j].second = max(lhs[j].second, rhs[j].second);
        }
        return res;
    }
    Segtree(int t_n) : n(t_n), st(t_n * 2) {}
    void edit(int p, Data v) {
        p += n;
        st[p] = v;
        while (p >>= 1) {
            st[p] = combine(st[p << 1], st[p << 1 | 1]);
        }
    }

    Data query(int l, int r) {
        Data res;
        fill(res.begin(), res.end(), PAIR_ID);
        for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
            if (l & 1) res = combine(st[l++], res);
            if (r & 1) res = combine(st[--r], res);
        }
        return res;
    }
};

vector<pair<int,int>> org_g[maxn];

vector<pair<int,int64_t>> g[maxn * 2]; // to, chain_id

// chain info
int64_t chain_pos[maxn][K];
int64_t chain_tot[K];

tuple<int,int,int,int,int,int,int> chain_info[K];

int cid;
int tot;

vector<int> vertex;

void dfs_shrink(int i, int f) {
    vertex.push_back(i);
    for (auto [j, w0]: org_g[i]) {
        if (j == f) continue;

        int x = i;
        int y = j;
        int64_t pref = w0;
        while (org_g[y].size() == 2) {
            auto e = org_g[y][0].first!=x ? org_g[y][0] : org_g[y][1];
            auto [z, w] = e;
            chain_pos[y][cid] = pref;
            pref += w;
            x = y;
            y = z;
        }
        // g[y].size() != 2
        chain_tot[cid] = pref;

        int v1 = tot++, v2 = tot++;
        size_t A = g[i].size();
        g[i].emplace_back(v1, -1);
        size_t B = g[v1].size();
        g[v1].emplace_back(v2, -1);
        size_t C = g[v2].size();
        g[v2].emplace_back(y, -1);

        chain_info[cid] = { i, v1, v2, y, A, B, C };
        ++cid;

        dfs_shrink(y, x);
    }
}

int sz[maxn * 2];
void dfs(int64_t &ans, int m, int i) {
    for (auto [j, w]: g[i]) {
        dfs(ans, m, j);
        if (sz[j] != 0 && sz[j] != m) {
            ans += w;
        }
        sz[i] += sz[j];
    }
}

signed main() {

    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int n, q;
    cin >> n >> q;
    string S;
    cin >> S;

    tot = n;

    for (int i = 0; i < n; i++)
        for (int j = 0; j < K; j++)
            chain_pos[i][j] = -1;

    for (int i = 1; i < n; i++) {
        int u, v, w;
        cin >> u >> v >> w;
        --u, --v;
        org_g[u].emplace_back(v, w);
        org_g[v].emplace_back(u, w);
    }

    dfs_shrink(0, -1);

    Segtree sgt(n);

    const auto enable = [&](int x) {
        array<pair<int64_t,int64_t>,K> t;
        for (int j = 0; j < cid; j++) {
            if (chain_pos[x][j] != -1)
                t[j] = { chain_pos[x][j], chain_pos[x][j] };
            else
                t[j] = { INF, -INF };
        }
        sgt.edit(x, t);
    };
    const auto disable = [&](int x) {
        array<pair<int64_t,int64_t>,K> t;
        for (int j = 0; j < cid; j++) {
            t[j] = { INF, -INF };
        }
        sgt.edit(x, t);
    };

    for (int i = 0; i < n; i++)
        if (S[i] == '1')
            enable(i);
        else
            disable(i);

    while (q--) {
        int t;
        cin >> t;
        if (t == 1) {
            int x;
            cin >> x;
            --x;

            if (S[x] == '1') {
                S[x] = '0';
                disable(x);
            } else if (S[x] == '0') {
                S[x] = '1';
                enable(x);
            }

        } else {
            int l, r;
            cin >> l >> r;
            --l;

            // query [l, r)

            auto res = sgt.query(l, r);

            int cnt = 0;

            for (int j = 0; j < cid; j++) {
                auto [ i, v1, v2, y, A, B, C ] = chain_info[j];
                if (res[j] == PAIR_ID) {
                    debug("NO", j);
                    g[i][A].second = chain_tot[j];
                    g[v1][B].second = 0;
                    g[v2][C].second = 0;
                    sz[v1] = sz[v2] = 0;
                } else {
                    auto [f, s] = res[j];
                    debug("YES", j, f, s);
                    g[i][A].second = f;
                    g[v1][B].second = s - f;
                    g[v2][C].second = chain_tot[j] - s;
                    sz[v1] = sz[v2] = 1;
                    cnt += 2;
                }
            }

            for (int v: vertex) {
                if (l <= v && v < r) {
                    sz[v] = (S[v] == '1');
                    cnt += (S[v] == '1');
                } else {
                    sz[v] = 0;
                }
            }

            if (cnt == 0) {
                cout << -1 << '\n';
            } else {
                int64_t ans = 0;
                dfs(ans, cnt, 0);
                cout << ans * 2 << '\n';
            }
        }
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 4ms
memory: 17436kb

input:

5 6
10110
1 2 1
1 3 10
2 4 100
3 5 1000
2 1 5
1 3
2 1 5
2 2 4
2 5 5
2 1 1

output:

222
202
0
-1
0

result:

ok 5 number(s): "222 202 0 -1 0"

Test #2:

score: 0
Accepted
time: 268ms
memory: 17516kb

input:

50 200000
00100100100001101010110100000111100011101110011010
14 47 940241413
11 43 331483591
37 38 496247070
47 46 832459694
7 15 16479291
1 30 402388666
30 8 513064064
46 50 739311480
5 4 761894947
32 41 631669659
17 24 715786564
35 20 763151642
32 33 492466005
39 11 186023146
9 7 805081251
3 42 25...

output:

17149847378
-1
26540740138
29613692754
21307948558
27003443184
11893407374
18332625722
20412196350
20281573062
29727468956
9593307160
9380710234
23682775470
16688997988
2856655228
14982588156
0
-1
9140136614
26193602866
22558599316
24807163344
19126284190
8533875940
7695830712
18079494744
0
27004673...

result:

ok 100000 numbers

Test #3:

score: 0
Accepted
time: 272ms
memory: 17508kb

input:

50 200000
10010001110011101101101011010011100101101010111001
1 25 560163135
2 7 696374536
33 39 14485266
39 22 456690113
4 5 267811886
18 6 657680382
3 43 865617406
25 14 885515220
41 34 919525052
42 50 410634144
8 3 487403277
3 30 701549676
2 43 54223104
7 34 691078766
14 23 323352590
26 48 4936558...

output:

17177676326
31373486130
15290175638
8192974494
22734716092
27802380120
6315957348
0
15780401446
15929384564
26423899248
9639532596
21199366790
26413065782
-1
29063665908
29925313598
28651879288
17144176262
16526083688
28206620550
26873163342
14840246174
32414950818
29985336496
0
11937422088
11131990...

result:

ok 100000 numbers

Test #4:

score: 0
Accepted
time: 271ms
memory: 17544kb

input:

50 200000
01011001001010000100001101100111011001101011101000
34 29 654100339
33 5 947063765
45 25 962067151
11 13 509130797
26 47 988757358
49 22 75267557
7 11 431530851
46 1 531969122
22 43 449891945
34 6 526679193
50 17 499004364
22 23 226725950
26 48 203414490
11 44 900725507
10 29 451714017
35 2...

output:

24080362406
0
0
21418182584
28358635244
28257750030
24520294678
21418182584
0
15335211126
28621468542
18664505530
19335499776
32374868794
23618866752
26801803500
24116134918
27676993638
30222353942
25612316674
20504702130
28400398734
29472795250
24400110084
20586186786
25612316674
0
30067400886
1297...

result:

ok 100000 numbers

Test #5:

score: 0
Accepted
time: 1ms
memory: 17492kb

input:

2 10
01
1 2 340134039
2 1 2
1 1
2 1 2
1 2
2 1 1
1 2
2 2 2
1 2
2 2 2
1 1

output:

0
680268078
0
0
-1

result:

ok 5 number(s): "0 680268078 0 0 -1"

Test #6:

score: 0
Accepted
time: 898ms
memory: 843900kb

input:

200000 100
1100001001001101010000111111011011101010001011011011011010101111010001111010101100101001010000110100100011111010011100101010010001011010111100101110010000101010000100111100000011001100111101110011000011010011011011100101100111101010111101110111001111111010001010010000110110100000111000111...

output:

187263442365796
187267199881816
187176203274470
187269896250018
187239740690858
186974761323092
187257776119514
187269896250018
187035239640930
186911636122472
187263030332128
187121605387264
187264313877130
187263442365796
187269896250018
187249588971104
187263442365796
187263442365796
187264313877...

result:

ok 50 numbers

Test #7:

score: 0
Accepted
time: 903ms
memory: 843840kb

input:

200000 100
1000100001000101011000010111101000110001110111010000000010100100001110001110011001001011000010001000101111000111000100111101111111011111101101011110010101110000011011000101010000101110000100101000101110011111110000010011010010001001010001101000001111001001011111110100100011011100010100101...

output:

187406582272754
187713357625510
187713357625510
187710409039730
187708440524170
187705546874918
187675370061160
187696435101958
187704004975728
187708440524170
187708440524170
187490194913408
186797006090958
187708440524170
187708440524170
187694259450196
187691068337432
187699562335668
187708440524...

result:

ok 50 numbers

Test #8:

score: 0
Accepted
time: 881ms
memory: 844372kb

input:

200000 100
1101110101111010101100101110111101001010101100011111011010101101001011000101011011110110110001000000110000100110101010001011100110100101010110001111000100011010101011100011111010111001011110110001001010000001010100000000100010010000110100101010000111010100100111001011101001000011010101011...

output:

187071935465024
186902015424650
186944515923806
187083386398370
187083386398370
186176053533638
187210565613960
186840136921858
187059112646348
186963648681914
187157614978100
187171857507720
186687953621656
187037985042418
184267618052908
185811051686090
186716949587794
186666528269428
186754258305...

result:

ok 50 numbers

Test #9:

score: 0
Accepted
time: 2625ms
memory: 844144kb

input:

200000 200000
1010011001010010101000001000111111110110111100000011000110010101000001101110111000100011010101100011001011101100010100000010100000100110100001000111010000011001010111001001000000111001100110010100101010111000000000011110101110010101110110110101100001011001101010101001000010000010000000...

output:

185874943612396
186901189463748
185325592077116
187007806200644
185723936146376
186683200699722
186830061692652
186256265895174
186860903405924
186810412385682
186744028102060
186994420108608
186831837842360
180459525430870
186966649455016
186952309712742
185810351127924
186849618327982
186494273101...

result:

ok 100000 numbers

Test #10:

score: 0
Accepted
time: 2609ms
memory: 844128kb

input:

200000 200000
1101100101010001011001101010110111010000001100111000100010001111101101110111001101000001101011010000001110101101001010011000001011000101010111001101100100101001100111010001101010011100101100010110000011110101101011000011101101010111101000000111100100011101000110011100011000010010001011...

output:

187559700459682
187535810670694
187366757549978
187509694959444
186405180245408
187572993046976
186802217032708
186278525122374
187171989295434
187404069323808
187366390326582
184670301024044
186230793287498
187530780070456
187597311483370
187406310330638
187384636670170
187047338416520
187544270920...

result:

ok 100000 numbers

Test #11:

score: 0
Accepted
time: 2617ms
memory: 844284kb

input:

200000 200000
0011111000111101101011111111000010101011010000100000110110010110010000011010101011101001100001001001000001100110010100101101001111000111010011110100000100000001111111000001000101000011110001101101111000101001100010010011001101100111110000110001100001100011110011001100100010000010001101...

output:

187057082821034
187050489592834
185798962075874
186490497612254
185547643085476
185839649755426
186731725449660
186845143722558
186446910671932
186830913714546
186903848544526
186827856700414
187012840145598
187030896936824
186738571374322
186338959389628
186977751482606
187075649881228
186978915850...

result:

ok 100000 numbers

Test #12:

score: 0
Accepted
time: 7ms
memory: 17460kb

input:

1 3
0
2 1 1
1 1
2 1 1

output:

-1
0

result:

ok 2 number(s): "-1 0"

Test #13:

score: 0
Accepted
time: 3ms
memory: 17568kb

input:

7 2
0001100
1 2 1
2 3 10
3 4 100
4 5 1000
3 6 10000
6 7 100000
2 1 7
2 2 6

output:

2000
2000

result:

ok 2 number(s): "2000 2000"